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Finding the Fourth Proportional to 860.64, 1,282.08 and 807.52

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Solution

The fourth proportional to 860.64, 1,282.08 and 807.52 is: 1,202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.64 : 1,282.08 = 807.52 : x
  2. Step 2: Convert to fraction form
    860.64/1,282.08 = 807.52/x
  3. Step 3: Cross multiply
    860.64x = 1,282.08 × 807.52
  4. Step 4: Simplify right side
    860.64x = 1,035,305.24
  5. Step 5: Solve for x
    x = 1,035,305.24/860.64
  6. Step 6: Final answer
    x = 1,202.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.